The most straightforward is to simply loop through the characters in the string:
Public Function CountCharacter(ByVal value As String, ByVal ch As Char) As Integer
Dim cnt As Integer = 0
For Each c As Char In value
If c = ch Then
cnt += 1
End If
Next
Return cnt
End Function
Usage:
count = CountCharacter(str, "e"C)
Another approach that is almost as effective and gives shorter code is to use LINQ extension methods:
Public Function CountCharacter(ByVal value As String, ByVal ch As Char) As Integer
Return value.Count(Function(c As Char) c = ch)
End Function
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